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Finding the Fourth Proportional to 123,102, 169,880.76 and 70,110

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Solution

The fourth proportional to 123,102, 169,880.76 and 70,110 is: 96,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,102 : 169,880.76 = 70,110 : x
  2. Step 2: Convert to fraction form
    123,102/169,880.76 = 70,110/x
  3. Step 3: Cross multiply
    123,102x = 169,880.76 × 70,110
  4. Step 4: Simplify right side
    123,102x = 11,910,340,083.60
  5. Step 5: Solve for x
    x = 11,910,340,083.60/123,102
  6. Step 6: Final answer
    x = 96,751.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.